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Finding the Third Proportional to 270,153 and 418,135.50

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Solution

The third proportional to 270,153 and 418,135.50 is: 647,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,153 : 418,135.50 = 418,135.50 : x
  2. Step 2: Convert to fraction form
    270,153/418,135.50 = 418,135.50/x
  3. Step 3: Cross multiply
    270,153x = 418,135.50 × 418,135.50
  4. Step 4: Simplify right side
    270,153x = 174,837,296,360.25
  5. Step 5: Solve for x
    x = 174,837,296,360.25/270,153
  6. Step 6: Final answer
    x = 647,178.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.